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Finding the Third Proportional to 521,932 and 1,002,392

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Solution

The third proportional to 521,932 and 1,002,392 is: 1,925,135.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,932 : 1,002,392 = 1,002,392 : x
  2. Step 2: Convert to fraction form
    521,932/1,002,392 = 1,002,392/x
  3. Step 3: Cross multiply
    521,932x = 1,002,392 × 1,002,392
  4. Step 4: Simplify right side
    521,932x = 1,004,789,721,664
  5. Step 5: Solve for x
    x = 1,004,789,721,664/521,932
  6. Step 6: Final answer
    x = 1,925,135.31

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.